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1220231331 = 331131132533
BaseRepresentation
bin100100010111011…
…0100000010100011
310011001002011201000
41020232310002203
54444334400311
6321025443043
742144536514
oct11056640243
93131064630
101220231331
11576874950
122a07a0483
13165a58c97
14b80b8a0b
15721d5056
hex48bb40a3

1220231331 has 32 divisors (see below), whose sum is σ = 2035722240. Its totient is φ = 715672800.

The previous prime is 1220231329. The next prime is 1220231359. The reversal of 1220231331 is 1331320221.

It is not a de Polignac number, because 1220231331 - 21 = 1220231329 is a prime.

It is a super-2 number, since 2×12202313312 = 2977929002308063122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221231331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57060 + ... + 75473.

It is an arithmetic number, because the mean of its divisors is an integer number (63616320).

Almost surely, 21220231331 is an apocalyptic number.

1220231331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1220231331 is a deficient number, since it is larger than the sum of its proper divisors (815490909).

1220231331 is a wasteful number, since it uses less digits than its factorization.

1220231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132584 (or 132578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1220231331 is about 34931.8097298150. The cubic root of 1220231331 is about 1068.5972625066.

Adding to 1220231331 its reverse (1331320221), we get a palindrome (2551551552).

The spelling of 1220231331 in words is "one billion, two hundred twenty million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 132533 397599 1192797 1457863 3578391 4108523 4373589 12325569 13120767 36976707 39362301 45193753 110930121 135581259 406743777 1220231331